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Answers 8 to cam students There are 8! ways arrange in any order + Only ܥܐ te way arrange student from shortest to tallest Probability 12 - 100 8x8x6x5x4x3x2x) - 0.0000248 40320 Option (c) is correct

Ahvena -0.025 2 Margin of Enor ef Pin is unknown we We take Å=0.5 At 99% confidence level "Z critica" value is x= 1-0.99 = 0.01 a 4/2 = 0.011 -0.005 不 Talr - Z 0.005 = 2.576 (from z -table) Sample size (n) is.

Sample Size (n) is 3 Lala 2 Cc: -1-P) n = * (P) *(1-1) E (2536) + (0.9)+ (0,5) (103.04) *(0,25) 10617.2416 *10.25) = 2654.3104 n 2655 (rounded up to nearest integer)

Eliven 4 e- n. 120 pe 50% = 0.05 np 120 (0.05) = 6 > 5 n (1-P) - 12000-95) 120(0,95) = 114 Her Binomial variable "X" ix approximately normally disturbated. Mean CH) - пP - 120 (0-05) –6 SD (o) = Vn-(p.(1-P V120.00-09).C0-45) = 157 15.7 - 2.38.15

5 - P(x<6) = p(x < 5.5) Cusing continuity Conection) 5.5-6 - P ( X < 33.3845 = P(Z <=056) = P(za - 0.21) = 0.4168338 = 0.4168 (rounded to 4 decimals)

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